College Math CLEP Prep Practice Exam

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What is the result of (9 + 2x)(6 - 4x)?

-12x² + 4x + 54
-12x² + 4x + 52
12x² - 4x + 54
12x² - 4x + 52

The correct answer is: 12x² - 4x + 52

There are a few ways to solve this problem. One way is to use the FOIL method, which stands for First, Outer, Inner, and Last. This method involves multiplying the terms in the first set of parentheses with the terms in the second set of parentheses. The result of this multiplication is -12x² + 4x + 54, so options A and B can be eliminated. Another way to solve this problem is by using the distributive property, which involves distributing each term in the first set of parentheses to each term in the second set of parentheses. When using this method, the result is 12x² - 4x + 54, so option C can also be eliminated. This leaves us with option D, which is the correct answer. It can also be obtained by combining like terms in the final result from either method.